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4280052 = 2237229251
BaseRepresentation
bin10000010100111011110100
322001110010110
4100110323310
52043430202
6231423020
751244200
oct20247364
98043113
104280052
112463737
121524a70
13b6b19a
147d5b00
1559826c
hex414ef4

4280052 has 72 divisors (see below), whose sum is σ = 12065760. Its totient is φ = 1176000.

The previous prime is 4280051. The next prime is 4280053. The reversal of 4280052 is 2500824.

It is an interprime number because it is at equal distance from previous prime (4280051) and next prime (4280053).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4280051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16927 + ... + 17177.

It is an arithmetic number, because the mean of its divisors is an integer number (167580).

Almost surely, 24280052 is an apocalyptic number.

4280052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4280052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880).

4280052 is an abundant number, since it is smaller than the sum of its proper divisors (7785708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4280052 is a wasteful number, since it uses less digits than its factorization.

4280052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4280052 is about 2068.8286540939. The cubic root of 4280052 is about 162.3614851194.

Adding to 4280052 its reverse (2500824), we get a palindrome (6780876).

The spelling of 4280052 in words is "four million, two hundred eighty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 251 294 348 406 502 588 609 753 812 1004 1218 1421 1506 1757 2436 2842 3012 3514 4263 5271 5684 7028 7279 8526 10542 12299 14558 17052 21084 21837 24598 29116 36897 43674 49196 50953 73794 87348 101906 147588 152859 203812 305718 356671 611436 713342 1070013 1426684 2140026 4280052